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Finding the Fourth Proportional to 30,897.50, 42,607.84 and 23,259.06

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Solution

The fourth proportional to 30,897.50, 42,607.84 and 23,259.06 is: 32,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.50 : 42,607.84 = 23,259.06 : x
  2. Step 2: Convert to fraction form
    30,897.50/42,607.84 = 23,259.06/x
  3. Step 3: Cross multiply
    30,897.50x = 42,607.84 × 23,259.06
  4. Step 4: Simplify right side
    30,897.50x = 991,018,248.88
  5. Step 5: Solve for x
    x = 991,018,248.88/30,897.50
  6. Step 6: Final answer
    x = 32,074.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.